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Finding the Fourth Proportional to 275,658.84, 412,684.92 and 204,894.90

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Solution

The fourth proportional to 275,658.84, 412,684.92 and 204,894.90 is: 306,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,658.84 : 412,684.92 = 204,894.90 : x
  2. Step 2: Convert to fraction form
    275,658.84/412,684.92 = 204,894.90/x
  3. Step 3: Cross multiply
    275,658.84x = 412,684.92 × 204,894.90
  4. Step 4: Simplify right side
    275,658.84x = 84,557,035,414.91
  5. Step 5: Solve for x
    x = 84,557,035,414.91/275,658.84
  6. Step 6: Final answer
    x = 306,745.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.